Mathematical analysis of the dynamics of visceral leishmaniasis in the Sudan

被引：35
|
作者：
ELmojtaba, Ibrahim M. [2 ]
Mugisha, J. Y. T. [1 ]
Hashim, Mohsin H. A. [2 ]
机构：
[1] Makerere Univ, Dept Math, Kampala, Uganda
[2] Univ Khartoum, Fac Math Sci, Khartoum, Sudan
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 06期
关键词：
Visceral leishmaniasis; PKDL; Animal reservoir; Sandfly; Basic reproduction number; AMERICAN CUTANEOUS LEISHMANIASIS; KALA-AZAR; MODEL; TRANSMISSION; THRESHOLD; INFECTION; DISEASES; CLIMATE; VACCINE; NUMBER;
D O I：
10.1016/j.amc.2010.07.069
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we develop a mathematical model to study the dynamics of visceral leishmaniasis in the Sudan. To develop this model we consider the dynamics of the disease between three different populations, human, reservoir and vector populations. The model is analyzed at equilibrium and the stability of the equilibria is analyzed. The basic reproduction number is derived, and the threshold conditions for disease elimination established. Results show that the disease can be eliminated under certain conditions. Simulations of the model show that human treatment helps in disease control, and its synergy with vector control will more likely result in the elimination of the disease. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：2567 / 2578
页数：12
相关论文
共 50 条
  • [1] A Mathematical Study to Control Visceral Leishmaniasis: An Application to South Sudan
    Indrajit Ghosh
    Tridip Sardar
    Joydev Chattopadhyay
    [J]. Bulletin of Mathematical Biology, 2017, 79 : 1100 - 1134
  • [2] A Mathematical Study to Control Visceral Leishmaniasis: An Application to South Sudan
    Ghosh, Indrajit
    Sardar, Tridip
    Chattopadhyay, Joydev
    [J]. BULLETIN OF MATHEMATICAL BIOLOGY, 2017, 79 (05) : 1100 - 1134
  • [3] Comments on "A Mathematical Study to Control Visceral Leishmaniasis: An Application to South Sudan"
    Iboi, E.
    Okuneye, K.
    Sharomi, O.
    Gumel, A. B.
    [J]. BULLETIN OF MATHEMATICAL BIOLOGY, 2018, 80 (04) : 825 - 839
  • [4] Comments on “A Mathematical Study to Control Visceral Leishmaniasis: An Application to South Sudan”
    E. Iboi
    K. Okuneye
    O. Sharomi
    A. B. Gumel
    [J]. Bulletin of Mathematical Biology, 2018, 80 : 825 - 839
  • [5] Visceral leishmaniasis in South Sudan
    Zwizwai, Ruth
    [J]. LANCET INFECTIOUS DISEASES, 2015, 15 (12): : 1385 - 1385
  • [6] VISCERAL LEISHMANIASIS IN SOUTHERN SUDAN
    PEREA, WA
    ANCELLE, T
    MOREN, A
    NAGELKERKE, M
    SONDORP, E
    [J]. TRANSACTIONS OF THE ROYAL SOCIETY OF TROPICAL MEDICINE AND HYGIENE, 1991, 85 (01) : 48 - 53
  • [7] Leishmaniasis in Sudan 3. Visceral leishmaniasis
    Zijlstra, EE
    El-Hassan, AM
    [J]. TRANSACTIONS OF THE ROYAL SOCIETY OF TROPICAL MEDICINE AND HYGIENE, 2001, 95 : S27 - S58
  • [8] EPIDEMIC VISCERAL LEISHMANIASIS IN SOUTHERN SUDAN
    PEREA, WA
    MOREN, A
    ANCELLE, T
    SONDORP, E
    [J]. LANCET, 1989, 2 (8673): : 1222 - 1223
  • [9] ACTUAL DISTRIBUTION OF THE VISCERAL LEISHMANIASIS IN THE SUDAN
    ZEESE, W
    FRANK, W
    [J]. TROPICAL MEDICINE AND PARASITOLOGY, 1987, 38 (03): : 252 - 252
  • [10] Challenges in the Diagnosis of Visceral Leishmaniasis in Sudan
    Abass, Elfadil
    Steinhoff, Ulrich
    el Harith, Abdallah
    [J]. INTERNATIONAL JOURNAL OF COLLABORATIVE RESEARCH ON INTERNAL MEDICINE & PUBLIC HEALTH, 2016, 8 (08) : 470 - 471
12345